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1642624453249 = 13260161161561
BaseRepresentation
bin10111111001110100000…
…011000000101010000001
312211000220022201001111221
4113321310003000222001
5203403043330000444
63254340010435041
7226450523323033
oct27716403005201
95730808631457
101642624453249
115836a675405a
12226427732a81
13bbb8b930900
1459709663c53
152cadd6cba84
hex17e740c0a81

1642624453249 has 12 divisors (see below), whose sum is σ = 1778740427052. Its totient is φ = 1516234137600.

The previous prime is 1642624453243. The next prime is 1642624453313. The reversal of 1642624453249 is 9423544262461.

It can be written as a sum of positive squares in 6 ways, for example, as 2534417649 + 1640090035600 = 50343^2 + 1280660^2 .

It is not a de Polignac number, because 1642624453249 - 227 = 1642490235521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1642624453196 and 1642624453205.

It is not an unprimeable number, because it can be changed into a prime (1642624453243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10086429 + ... + 10247989.

It is an arithmetic number, because the mean of its divisors is an integer number (148228368921).

Almost surely, 21642624453249 is an apocalyptic number.

It is an amenable number.

1642624453249 is a deficient number, since it is larger than the sum of its proper divisors (136115973803).

1642624453249 is a wasteful number, since it uses less digits than its factorization.

1642624453249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221748 (or 221735 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 52.

The spelling of 1642624453249 in words is "one trillion, six hundred forty-two billion, six hundred twenty-four million, four hundred fifty-three thousand, two hundred forty-nine".

Divisors: 1 13 169 60161 161561 782093 2100293 10167209 27303809 9719671321 126355727173 1642624453249